The number 1069
1069 is the 180th prime number. Its only divisors are 1 and 1069.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1069: the 180th prime number.
- 2
1069 is prime, so its only factors are 1 and 1069. It is the 180th prime; the next prime is 1087 and the one before is 1063.
- 3
The divisors add up to 1070; without 1069 itself that is 1, so 1069 is deficient (1 is less than 1069). Euler's totient φ(1069) = 1068 numbers up to 1069 share no factor with it.
- 4
The digits of 1069 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 23 steps to reach 1.
1069 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1070 |
| Euler totient φ(n) | 1068 |
| Square | 1142761 |
| Cube | 1221611509 |
| Square root | 32.695565 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 23 |
| Scientific notation | 1.069 × |
1069 in other forms
| Form | Value |
|---|---|
| In words | one thousand and sixty-nine |
| Roman numerals | MLXIX |
| Binary (base 2) | 10000101101 |
| Octal (base 8) | 2055 |
| Hexadecimal (base 16) | 42D |
| Base 3 | 1110121 |
| As time | 1069 seconds = 17 min 49 s |
Is 1069 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1069 a prime number?
Yes. 1069 is divisible only by 1 and itself.
What are the factors of 1069?
1, 1069.
What is 1069 in binary?
10000101101 (hexadecimal 42D, octal 2055).
What is the square root of 1069?
About 32.6956.
What is 1069 in Roman numerals?
MLXIX.
Is 1069 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 1069?
1069 is the 180th prime number.